Carlos Domingo-Salazar


Data Analyst
at Ubisoft Barcelona Mobile


 


Right now I am working as a Data Analyst at Ubisoft Barcelona, though this website is devoted to a more academic side of my career as a mathematician.

In 2016 I finished my Ph.D. at the University of Barcelona, under the direction of M. J. Carro. My research is on Real and Harmonic Analysis, in a broad sense.

Lately, I have been working on Extrapolation Theory (of both Yano and Rubio de Francia type), Weighted Estimates and radial Fourier multipliers such as the Bochner-Riesz operator. However, I am also interested in all kinds of math, their interactions and especially, their applications.

I am a member of the research group on Real and Functional Analysis at the University of Barcelona and of the BGSMath, an association of the research groups in mathematics from the three main universities in the Barcelona area (UAB, UB and UPC).

While working at the University of Barcelona, I was the organizer of the Applied Mathematics and Analysis section of the seminar SIMBa, as well as part of the organizing committee of the biannual meeting of the BGSMath Junior researchers.

For more detailed information about me, you can find my academic CV here.

    Publications:

  • M. J. Carro, C. Domingo-Salazar. Endpoint estimates for Rubio de Francia operators To appear in Trans. Amer. Math. Soc. PDF FILE
  • M. J. Carro, C. Domingo-Salazar. Weighted weak-type (1,1) estimates for radial Fourier multipliers via extrapolation theory To appear in J. Anal. Math. PDF FILE
  • M. J. Carro, C. Domingo-Salazar. Stein's square function Gα and sparse operators J. Geom. Anal. 27 (2017), 1624-1635. PDF FILE
  • C. Domingo-Salazar, M. Lacey, G. Rey. Borderline weak type estimates for singular integrals and square functions, Bull. London Math. Soc. 48 (2016), 63-73. PDF FILE
  • M. J. Carro, C. Domingo-Salazar. Pointwise bounds for integral type operators, Math. Nachr. 289 (2016), 1386--1395. PDF FILE

    Preprints:

  • M. J. Carro, C. Domingo-Salazar. The Return Times Property for the tail on logarithm-type spaces (Submitted) PDF FILE

    Others:

  • C. Domingo-Salazar. Endpoint Estimates via Extrapolation Theory. Ph.D. thesis. Advisor: M. J. Carro. PDF FILE
  • C. Domingo-Salazar. The Hilbert Transform along the Parabola. M.Sc. thesis. Advisor: M. J. Carro. PDF FILE
  • C. Domingo-Salazar. El Problema del Subespacio Invariante. B.Sc. thesis. Advisors: J. Soria and P. Tradacete. PDF FILE (In Spanish)

This is a selection of talks and seminars I have given on different subjects. Some of them have the PDF of the presentation available:

  • Touchdown for Extrapolation Theory, Analysis Seminar at Brown University, Providence, USA (April 2016).
  • Borderline Variants of the Muckenhoupt-Wheeden Inequality, III Young Researchers Conference, Murcia, Spain (September 2015). Talk
  • Endpoint estimates, Extrapolation Theory and the Bochner-Riesz operator, XVI EARCO Conference, Carmona, Spain (May 2015). Talk
  • Reaching L1 via Extrapolation Theory and an application to Fourier multipliers, Analysis Seminar at Georgia Institute of Technology, Atlanta, USA (April 2015).
  • From Calderón-Zygmund to Sparse Operators, Short Course for the Real and Functional Analysis Research Group, Barcelona, Spain (January 2015).
  • Rubio de Francia Extrapolation and its new variants , Working Seminar at the University of Birmingham, United Kingdom (December 2014).
  • Reaching weak-type (1,1) estimates via Extrapolation Theory, Santaló EMS Summer School on Dyadic Harmonic Analysis, Santander, Spain (September 2014). Short Talk
  • Extrapolation of operators and almost everywhere convergence of the Fourier series, SIMBa Seminar, Barcelona, Spain (November 2013). Talk (In Catalan)
  • The Hilbert Transform along the Parabola, M.Sc. Final project and SIMBa Seminar, Barcelona, Spain (July and November 2012). Talk
  • Fixed Point Theorems, Nash Equilibrium and Non-Cooperative Games, Workshop of the Functional Analysis and Applications Network, La Manga del Mar Menor, Spain (May 2012).
  • Invariant subspaces for the shift operator, Functional, Harmonic and Complex Analysis Seminar, Barcelona, Spain (March 2012). Talk
  • The Invariant Subspace Problem, Real and Functional Analysis Research Group meeting, Barcelona, Spain (November 2011).

Fall Semester 2016:

Anàlisi Real i Funcional - Real and Functional Analysis

B.Sc. in Mathematics - in Catalan

Càlcul Diferencial en Diverses Variables - Differential Calculus in Several Variables

B.Sc. in Mathematics - in Catalan

Fall Semester 2015:

Introducció al Càlcul Diferencial - Introduction to Differential Calculus

B.Sc. in Mathematics - in Catalan

Càlcul Diferencial en Diverses Variables - Differential Calculus in Several Variables

B.Sc. in Mathematics - in Catalan

Functional Analysis and Partial Differential Equations

M.Sc. in Advanced Mathematics - in English - 6h of a 60h course